GCF of 1416/136, 6164/9926
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1416/136, 6164/9926 i.e 4/674968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1416/136, 6164/9926.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 1416/136,6164/9926?
Given fractions are 1416/136,6164/9926
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 1416/136,6164/9926, numerators are 1416,6164
Denominators are 136,9926
The GCF of 1416,6164 is 4 .
LCM of 136,9926 is 674968.
The greatest common factor of 1416/136,6164/9926 = [GCF of 1416,6164]/[LCM of 136,9926]= 4/674968
Therefore, the GCF of 1416/136,6164/9926 is 4/674968.
To find the highest common factor of 1416,6164, we have to find the factors of both numbers and list the highest common factor.
The factors of 1416 are 1, 2, 3, 4, 6, 8, 12, 24, 59, 118, 177, 236, 354, 472, 708, 1416
The factors of 6164 are 1, 2, 4, 23, 46, 67, 92, 134, 268, 1541, 3082, 6164
The HCF of 1416,6164 is 4.
Lets's calculate GCF of 1416,6164
| 2 | 1416, 6164 |
| 2 | 708, 3082 |
| 354, 1541 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1416,6164 By Matching Biggest Common Factor Method
Now, list down the factors of 1416
:1,2,3,4,6,8,12,24,59,118,177,236,354,472,708,1416
Now, list down the factors of 6164
:1,2,4,23,46,67,92,134,268,1541,3082,6164
Greatest Common Factor
We found the factors 1416,6164 . The biggest common factor number is the GCF number.
So the greatest common factor 1416,6164 is 4.
Lets's calculate LCM of 136,9926
| 2 | 136, 9926 |
| 68, 4963 |
∴ So the LCM of the given numbers is 2 x 68 x 4963 = 674968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/674968
Therefore, the GCF of Fractions 1416/136,6164/9926 is 4/674968
Least Common Multiple of 136,9926 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 136,9926 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(136,9926) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(136,9926) x common factors =2 x 1 = 2
LCM(136,9926) = ( 136 × 9926 ) / 2
LCM(136,9926) = 1349936 / 2
LCM(136,9926) = 674968
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FAQs on GCF of Fractions of 1416/136, 6164/9926
1. What is the HCF of 1416,6164?
The HCF of 1416,6164 is 4
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 1416/136, 6164/9926?
Answer: GCF of Numerators as per given numbers 1416/136, 6164/9926 is
GCF of Numerators i.e. for 1416,6164 is 4
LCM of denominators i.e. for 136,9926 is 674968.
Thus, GCF of Fractions is 4/674968.Finally, GCF of Fractions for 1416/136, 6164/9926 is 4/674968.